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# Floor and Ceiling Functions

Floor functions map a real number x to the largest integer less than or equal to x. You can probably guess what the ceiling function does.

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How many trailing zeros does \(19!\) have?

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Find the number of trailing zeros in \(19!\times59!\times158!.\)

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If \(x!\) has \(112\) trailing zeros, what is the smallest possible integer \(x?\)

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How many trailing zeros does \(247!\) have?

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Find the number of trailing zeros in \(303!+304!+305!.\)

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